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Finding the Fourth Proportional to 6,912.75, 9,532.06 and 4,670.73

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Solution

The fourth proportional to 6,912.75, 9,532.06 and 4,670.73 is: 6,440.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.75 : 9,532.06 = 4,670.73 : x
  2. Step 2: Convert to fraction form
    6,912.75/9,532.06 = 4,670.73/x
  3. Step 3: Cross multiply
    6,912.75x = 9,532.06 × 4,670.73
  4. Step 4: Simplify right side
    6,912.75x = 44,521,678.60
  5. Step 5: Solve for x
    x = 44,521,678.60/6,912.75
  6. Step 6: Final answer
    x = 6,440.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.